10111133023320 has 256 divisors, whose sum is σ = 34769797171200. Its totient is φ = 2304250675200.

The previous prime is 10111133023309. The next prime is 10111133023337. The reversal of 10111133023320 is 2332033111101.

It is a happy number.

It is a super-2 number, since 2×10111133023320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1129604845 + ... + 1129613795.

It is an arithmetic number, because the mean of its divisors is an integer number (135819520200).

Almost surely, 2^{10111133023320} is an apocalyptic number.

10111133023320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111133023320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17384898585600).

10111133023320 is an abundant number, since it is smaller than the sum of its proper divisors (24658664147880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10111133023320 is a wasteful number, since it uses less digits than its factorization.

10111133023320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12818 (or 12814 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 10111133023320 its reverse (2332033111101), we get a palindrome (12443166134421).

The spelling of 10111133023320 in words is "ten trillion, one hundred eleven billion, one hundred thirty-three million, twenty-three thousand, three hundred twenty".