10113202311200 has 144 divisors (see below), whose sum is σ = 26278012099584. Its totient is φ = 3787388620800.

The previous prime is 10113202311083. The next prime is 10113202311209. The reversal of 10113202311200 is 211320231101.

It is a super-2 number, since 2×10113202311200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (10113202311209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 650957 + ... + 4544243.

It is an arithmetic number, because the mean of its divisors is an integer number (182486195136).

Almost surely, 2^{10113202311200} is an apocalyptic number.

10113202311200 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 10113202311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13139006049792).

10113202311200 is an abundant number, since it is smaller than the sum of its proper divisors (16164809788384).

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

10113202311200 is a wasteful number, since it uses less digits than its factorization.

10113202311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3893515 (or 3893502 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10113202311200 its reverse (211320231101), we get a palindrome (10324522542301).

The spelling of 10113202311200 in words is "ten trillion, one hundred thirteen billion, two hundred two million, three hundred eleven thousand, two hundred".