102124313131 has 32 divisors (see below), whose sum is σ = 112884192000. Its totient is φ = 92013651072.

The previous prime is 102124313119. The next prime is 102124313141. The reversal of 102124313131 is 131313421201.

It is a cyclic number.

It is not a de Polignac number, because 102124313131 - 2¹⁹ = 102123788843 is a prime.

It is a super-2 number, since 2×102124313131² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102124313141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10548465 + ... + 10558141.

It is an arithmetic number, because the mean of its divisors is an integer number (3527631000).

Almost surely, 2^102124313131 is an apocalyptic number.

102124313131 is a deficient number, since it is larger than the sum of its proper divisors (10759878869).

102124313131 is a wasteful number, since it uses less digits than its factorization.

102124313131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10011.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 102124313131 its reverse (131313421201), we get a palindrome (233437734332).

The spelling of 102124313131 in words is "one hundred two billion, one hundred twenty-four million, three hundred thirteen thousand, one hundred thirty-one".