1010111012131 has 16 divisors (see below), whose sum is σ = 1099063746144. Its totient is φ = 922782921984.

The previous prime is 1010111012129. The next prime is 1010111012143. The reversal of 1010111012131 is 1312101110101.

It is a cyclic number.

It is not a de Polignac number, because 1010111012131 - 2¹ = 1010111012129 is a prime.

It is a super-2 number, since 2×1010111012131² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (1010111010131) 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, 1050655 + ... + 1767511.

It is an arithmetic number, because the mean of its divisors is an integer number (68691484134).

Almost surely, 2^{1010111012131} is an apocalyptic number.

1010111012131 is a deficient number, since it is larger than the sum of its proper divisors (88952734013).

1010111012131 is a wasteful number, since it uses less digits than its factorization.

1010111012131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717990.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 1010111012131 its reverse (1312101110101), we get a palindrome (2322212122232).

The spelling of 1010111012131 in words is "one trillion, ten billion, one hundred eleven million, twelve thousand, one hundred thirty-one".