31020002131001 has 8 divisors (see below), whose sum is σ = 34309025226504. Its totient is φ = 27859960333440.

The previous prime is 31020002130973. The next prime is 31020002131031. The reversal of 31020002131001 is 10013120002013.

It can be written as a sum of positive squares in 4 ways, for example, as 8685256949776 + 22334745181225 = 2947076^2 + 4725965^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31020002131001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31020002131031) 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, 32245323980 + ... + 32245324941.

It is an arithmetic number, because the mean of its divisors is an integer number (4288628153313).

Almost surely, 2^{31020002131001} is an apocalyptic number.

It is an amenable number.

31020002131001 is a deficient number, since it is larger than the sum of its proper divisors (3289023095503).

31020002131001 is a wasteful number, since it uses less digits than its factorization.

31020002131001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64490648971.

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

Adding to 31020002131001 its reverse (10013120002013), we get a palindrome (41033122133014).

The spelling of 31020002131001 in words is "thirty-one trillion, twenty billion, two million, one hundred thirty-one thousand, one".