102131311344 has 160 divisors (see below), whose sum is σ = 286273224960. Its totient is φ = 31265740800.

The previous prime is 102131311343. The next prime is 102131311367. The reversal of 102131311344 is 443113131201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102131311343) 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, 9476679 + ... + 9487449.

It is an arithmetic number, because the mean of its divisors is an integer number (1789207656).

Almost surely, 2^102131311344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102131311344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143136612480).

102131311344 is an abundant number, since it is smaller than the sum of its proper divisors (184141913616).

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

102131311344 is a wasteful number, since it uses less digits than its factorization.

102131311344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11119 (or 11113 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 102131311344 its reverse (443113131201), we get a palindrome (545244442545).

The spelling of 102131311344 in words is "one hundred two billion, one hundred thirty-one million, three hundred eleven thousand, three hundred forty-four".