10111133023337 has 2 divisors, whose sum is σ = 10111133023338. Its totient is φ = 10111133023336.

The previous prime is 10111133023309. The next prime is 10111133023361. The reversal of 10111133023337 is 73332033111101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7243763147776 + 2867369875561 = 2691424^2 + 1693331^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111133023337 - 2⁸ = 10111133023081 is a prime.

It is a super-2 number, since 2×10111133023337² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10111133023037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055566511668 + 5055566511669.

It is an arithmetic number, because the mean of its divisors is an integer number (5055566511669).

Almost surely, 2^{10111133023337} is an apocalyptic number.

It is an amenable number.

10111133023337 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111133023337 is an equidigital number, since it uses as much as digits as its factorization.

10111133023337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3402, while the sum is 29.

Adding to 10111133023337 its reverse (73332033111101), we get a palindrome (83443166134438).

The spelling of 10111133023337 in words is "ten trillion, one hundred eleven billion, one hundred thirty-three million, twenty-three thousand, three hundred thirty-seven".