102131101314 has 96 divisors (see below), whose sum is σ = 265067764416. Its totient is φ = 29128273920.

The previous prime is 102131101307. The next prime is 102131101321. The reversal of 102131101314 is 413101131201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102131101307) and next prime (102131101321).

It is a super-2 number, since 2×102131101314² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 471007 + ... + 652770.

It is an arithmetic number, because the mean of its divisors is an integer number (2761122546).

Almost surely, 2^102131101314 is an apocalyptic number.

102131101314 is an abundant number, since it is smaller than the sum of its proper divisors (162936663102).

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

102131101314 is a wasteful number, since it uses less digits than its factorization.

102131101314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123822 (or 1123810 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 102131101314 its reverse (413101131201), we get a palindrome (515232232515).

The spelling of 102131101314 in words is "one hundred two billion, one hundred thirty-one million, one hundred one thousand, three hundred fourteen".