100130131213002 has 72 divisors (see below), whose sum is σ = 238543081987392. Its totient is φ = 30332424806640.

The previous prime is 100130131213001. The next prime is 100130131213027. The reversal of 100130131213002 is 200312131031001.

100130131213002 is a `hidden beast` number, since 10 + 0 + 1 + 301 + 31 + 21 + 300 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (100130131213001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1019848 + ... + 14188035.

It is an arithmetic number, because the mean of its divisors is an integer number (3313098360936).

Almost surely, 2^{100130131213002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100130131213002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119271540993696).

100130131213002 is an abundant number, since it is smaller than the sum of its proper divisors (138412950774390).

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

100130131213002 is a wasteful number, since it uses less digits than its factorization.

100130131213002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15210936 (or 15210922 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100130131213002 its reverse (200312131031001), we get a palindrome (300442262244003).

The spelling of 100130131213002 in words is "one hundred trillion, one hundred thirty billion, one hundred thirty-one million, two hundred thirteen thousand, two".