10111131013 has 8 divisors (see below), whose sum is σ = 10132482168. Its totient is φ = 10089799104.

The previous prime is 10111131011. The next prime is 10111131031. The reversal of 10111131013 is 31013111101.

10111131013 = 71102² + 71103².

It can be written as a sum of positive squares in 4 ways, for example, as 257987844 + 9853143169 = 16062^2 + 99263^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10111131013 - 2¹ = 10111131011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10111130984 and 10111131002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111131011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1520131 + ... + 1526767.

It is an arithmetic number, because the mean of its divisors is an integer number (1266560271).

Almost surely, 2^10111131013 is an apocalyptic number.

10111131013 is the 71103-rd centered square number.

It is an amenable number.

10111131013 is a deficient number, since it is larger than the sum of its proper divisors (21351155).

10111131013 is an equidigital number, since it uses as much as digits as its factorization.

10111131013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9623.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 10111131013 its reverse (31013111101), we get a palindrome (41124242114).

The spelling of 10111131013 in words is "ten billion, one hundred eleven million, one hundred thirty-one thousand, thirteen".