102113004312 has 192 divisors, whose sum is σ = 318038572800. Its totient is φ = 29272078080.

The previous prime is 102113004281. The next prime is 102113004317. The reversal of 102113004312 is 213400311201.

102113004312 is a `hidden beast` number, since 102 + 1 + 130 + 0 + 431 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102113004317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11176098 + ... + 11185230.

It is an arithmetic number, because the mean of its divisors is an integer number (1656450900).

Almost surely, 2^102113004312 is an apocalyptic number.

102113004312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102113004312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159019286400).

102113004312 is an abundant number, since it is smaller than the sum of its proper divisors (215925568488).

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

102113004312 is a wasteful number, since it uses less digits than its factorization.

102113004312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9918 (or 9911 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102113004312 its reverse (213400311201), we get a palindrome (315513315513).

The spelling of 102113004312 in words is "one hundred two billion, one hundred thirteen million, four thousand, three hundred twelve".