10200011313131 has 16 divisors (see below), whose sum is σ = 10585136047200. Its totient is φ = 9817161984000.

The previous prime is 10200011313101. The next prime is 10200011313137. The reversal of 10200011313131 is 13131311000201.

It is a cyclic number.

It is not a de Polignac number, because 10200011313131 - 2²² = 10200007118827 is a prime.

It is a super-2 number, since 2×10200011313131² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10200011313137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11305931 + ... + 12174731.

It is an arithmetic number, because the mean of its divisors is an integer number (661571002950).

Almost surely, 2^{10200011313131} is an apocalyptic number.

10200011313131 is a deficient number, since it is larger than the sum of its proper divisors (385124734069).

10200011313131 is an equidigital number, since it uses as much as digits as its factorization.

10200011313131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870110.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 10200011313131 its reverse (13131311000201), we get a palindrome (23331322313332).

The spelling of 10200011313131 in words is "ten trillion, two hundred billion, eleven million, three hundred thirteen thousand, one hundred thirty-one".