100003311013320 has 384 divisors, whose sum is σ = 389954893386240. Its totient is φ = 21902227384320.

The previous prime is 100003311013301. The next prime is 100003311013351. The reversal of 100003311013320 is 23310113300001.

It is a happy number.

100003311013320 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 0 + 331 + 1 + 0 + 1 + 332 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 100003311013293 and 100003311013302.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18246039 + ... + 23085158.

It is an arithmetic number, because the mean of its divisors is an integer number (1015507534860).

Almost surely, 2^{100003311013320} is an apocalyptic number.

100003311013320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100003311013320 is an abundant number, since it is smaller than the sum of its proper divisors (289951582372920).

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

100003311013320 is a wasteful number, since it uses less digits than its factorization.

100003311013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41331285 (or 41331278 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100003311013320 its reverse (23310113300001), we get a palindrome (123313424313321).

The spelling of 100003311013320 in words is "one hundred trillion, three billion, three hundred eleven million, thirteen thousand, three hundred twenty".