100313433352 has 128 divisors (see below), whose sum is σ = 217147392000. Its totient is φ = 42999517440.

The previous prime is 100313433299. The next prime is 100313433373. The reversal of 100313433352 is 253334313001.

It is a super-2 number, since 2×100313433352² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100313433352.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49196349 + ... + 49198387.

It is an arithmetic number, because the mean of its divisors is an integer number (1696464000).

Almost surely, 2^100313433352 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 100313433352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108573696000).

100313433352 is an abundant number, since it is smaller than the sum of its proper divisors (116833958648).

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

100313433352 is a wasteful number, since it uses less digits than its factorization.

100313433352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 28.

Adding to 100313433352 its reverse (253334313001), we get a palindrome (353647746353).

The spelling of 100313433352 in words is "one hundred billion, three hundred thirteen million, four hundred thirty-three thousand, three hundred fifty-two".