31131023212001 has 8 divisors (see below), whose sum is σ = 31359421372680. Its totient is φ = 30902641927168.

The previous prime is 31131023211997. The next prime is 31131023212057. The reversal of 31131023212001 is 10021232013113.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 23784885150625 + 7346138061376 = 4876975^2 + 2710376^2 .

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 31131023212001 - 2² = 31131023211997 is a prime.

It is a super-2 number, since 2×31131023212001² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31131023202001) 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, 504056 + ... + 7906713.

It is an arithmetic number, because the mean of its divisors is an integer number (3919927671585).

Almost surely, 2^{31131023212001} is an apocalyptic number.

It is an amenable number.

31131023212001 is a deficient number, since it is larger than the sum of its proper divisors (228398160679).

31131023212001 is a wasteful number, since it uses less digits than its factorization.

31131023212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8437923.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 31131023212001 its reverse (10021232013113), we get a palindrome (41152255225114).

The spelling of 31131023212001 in words is "thirty-one trillion, one hundred thirty-one billion, twenty-three million, two hundred twelve thousand, one".