1001032002131 has 16 divisors (see below), whose sum is σ = 1205545459200. Its totient is φ = 811992999168.

The previous prime is 1001032002119. The next prime is 1001032002133. The reversal of 1001032002131 is 1312002301001.

It is a cyclic number.

It is not a de Polignac number, because 1001032002131 - 2²² = 1001027807827 is a prime.

It is a super-3 number, since 3×1001032002131³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001032002133) 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, 3927335 + ... + 4174448.

It is an arithmetic number, because the mean of its divisors is an integer number (75346591200).

Almost surely, 2^{1001032002131} is an apocalyptic number.

1001032002131 is a deficient number, since it is larger than the sum of its proper divisors (204513457069).

1001032002131 is an equidigital number, since it uses as much as digits as its factorization.

1001032002131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8102738.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1001032002131 its reverse (1312002301001), we get a palindrome (2313034303132).

The spelling of 1001032002131 in words is "one trillion, one billion, thirty-two million, two thousand, one hundred thirty-one".