1020010013131 has 16 divisors (see below), whose sum is σ = 1030163592384. Its totient is φ = 1009898233344.

The previous prime is 1020010013093. The next prime is 1020010013173. The reversal of 1020010013131 is 1313100100201.

It is a cyclic number.

It is not a de Polignac number, because 1020010013131 - 2³⁹ = 470254199243 is a prime.

It is a super-2 number, since 2×1020010013131² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020010013531) 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, 155652151 + ... + 155658703.

It is an arithmetic number, because the mean of its divisors is an integer number (64385224524).

Almost surely, 2^{1020010013131} is an apocalyptic number.

1020010013131 is a deficient number, since it is larger than the sum of its proper divisors (10153579253).

1020010013131 is a wasteful number, since it uses less digits than its factorization.

1020010013131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9510.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 1020010013131 its reverse (1313100100201), we get a palindrome (2333110113332).

The spelling of 1020010013131 in words is "one trillion, twenty billion, ten million, thirteen thousand, one hundred thirty-one".