3131001202001 has 8 divisors (see below), whose sum is σ = 3171061425000. Its totient is φ = 3091118630400.

The previous prime is 3131001201949. The next prime is 3131001202061. The reversal of 3131001202001 is 1002021001313.

It can be written as a sum of positive squares in 4 ways, for example, as 1396048587025 + 1734952614976 = 1181545^2 + 1317176^2 .

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 3131001202001 - 2³⁸ = 2856123295057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3131001202061) 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, 44377376 + ... + 44447873.

It is an arithmetic number, because the mean of its divisors is an integer number (396382678125).

Almost surely, 2^{3131001202001} is an apocalyptic number.

It is an amenable number.

3131001202001 is a deficient number, since it is larger than the sum of its proper divisors (40060222999).

3131001202001 is a wasteful number, since it uses less digits than its factorization.

3131001202001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88825699.

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

Adding to 3131001202001 its reverse (1002021001313), we get a palindrome (4133022203314).

The spelling of 3131001202001 in words is "three trillion, one hundred thirty-one billion, one million, two hundred two thousand, one".