102213013103131 has 16 divisors (see below), whose sum is σ = 118727556668928. Its totient is φ = 86182211606400.

The previous prime is 102213013103107. The next prime is 102213013103143. The reversal of 102213013103131 is 131301310312201.

It is not a de Polignac number, because 102213013103131 - 2¹³ = 102213013094939 is a prime.

It is a super-2 number, since 2×102213013103131² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102213013103101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231901710 + ... + 232342051.

It is an arithmetic number, because the mean of its divisors is an integer number (7420472291808).

Almost surely, 2^{102213013103131} is an apocalyptic number.

102213013103131 is a deficient number, since it is larger than the sum of its proper divisors (16514543565797).

102213013103131 is an equidigital number, since it uses as much as digits as its factorization.

102213013103131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464244282.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 102213013103131 its reverse (131301310312201), we get a palindrome (233514323415332).

The spelling of 102213013103131 in words is "one hundred two trillion, two hundred thirteen billion, thirteen million, one hundred three thousand, one hundred thirty-one".