31113321201001 has 8 divisors (see below), whose sum is σ = 33508250894664. Its totient is φ = 28718619692160.

The previous prime is 31113321200981. The next prime is 31113321201041. The reversal of 31113321201001 is 10010212331113.

It can be written as a sum of positive squares in 4 ways, for example, as 372007285776 + 30741313915225 = 609924^2 + 5544485^2 .

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-31113321201001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31113321201001.

It is not an unprimeable number, because it can be changed into a prime (31113321201041) 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, 56762956 + ... + 57308461.

It is an arithmetic number, because the mean of its divisors is an integer number (4188531361833).

Almost surely, 2^{31113321201001} is an apocalyptic number.

It is an amenable number.

31113321201001 is a deficient number, since it is larger than the sum of its proper divisors (2394929693663).

31113321201001 is a wasteful number, since it uses less digits than its factorization.

31113321201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114092411.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 31113321201001 its reverse (10010212331113), we get a palindrome (41123533532114).

The spelling of 31113321201001 in words is "thirty-one trillion, one hundred thirteen billion, three hundred twenty-one million, two hundred one thousand, one".