100013311320 has 384 divisors, whose sum is σ = 357698980800. Its totient is φ = 22159982592.

The previous prime is 100013311301. The next prime is 100013311327. The reversal of 100013311320 is 23113310001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100013311320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100013311327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14025516 + ... + 14032644.

Almost surely, 2^100013311320 is an apocalyptic number.

100013311320 is a gapful number since it is divisible by the number (10) 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 100013311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178849490400).

100013311320 is an abundant number, since it is smaller than the sum of its proper divisors (257685669480).

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

100013311320 is a wasteful number, since it uses less digits than its factorization.

100013311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7219 (or 7192 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 100013311320 its reverse (23113310001), we get a palindrome (123126621321).

The spelling of 100013311320 in words is "one hundred billion, thirteen million, three hundred eleven thousand, three hundred twenty".