100313332002 has 96 divisors (see below), whose sum is σ = 235993395456. Its totient is φ = 30611952000.

The previous prime is 100313331973. The next prime is 100313332003. The reversal of 100313332002 is 200233313001.

100313332002 is a `hidden beast` number, since 100 + 31 + 333 + 200 + 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 (100313332003) 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, 26251252 + ... + 26255072.

It is an arithmetic number, because the mean of its divisors is an integer number (2458264536).

Almost surely, 2^100313332002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100313332002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117996697728).

100313332002 is an abundant number, since it is smaller than the sum of its proper divisors (135680063454).

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

100313332002 is a wasteful number, since it uses less digits than its factorization.

100313332002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4736 (or 4733 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 100313332002 its reverse (200233313001), we get a palindrome (300546645003).

The spelling of 100313332002 in words is "one hundred billion, three hundred thirteen million, three hundred thirty-two thousand, two".