10011311332000 has 96 divisors (see below), whose sum is σ = 26833954964544. Its totient is φ = 3640476832000.

The previous prime is 10011311331949. The next prime is 10011311332027. The reversal of 10011311332000 is 23311311001.

It is a super-2 number, since 2×10011311332000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113720902 + ... + 113808901.

It is an arithmetic number, because the mean of its divisors is an integer number (279520364214).

Almost surely, 2^{10011311332000} is an apocalyptic number.

10011311332000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011311332000 is an abundant number, since it is smaller than the sum of its proper divisors (16822643632544).

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

10011311332000 is a wasteful number, since it uses less digits than its factorization.

10011311332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227529839 (or 227529821 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10011311332000 its reverse (23311311001), we get a palindrome (10034622643001).

The spelling of 10011311332000 in words is "ten trillion, eleven billion, three hundred eleven million, three hundred thirty-two thousand".