31321132032101 has 2 divisors, whose sum is σ = 31321132032102. Its totient is φ = 31321132032100.

The previous prime is 31321132032041. The next prime is 31321132032133. The reversal of 31321132032101 is 10123023112313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27249913821025 + 4071218211076 = 5220145^2 + 2017726^2 .

It is a cyclic number.

It is not a de Polignac number, because 31321132032101 - 2³⁰ = 31320058290277 is a prime.

It is a super-5 number, since 5×31321132032101⁵ (a number of 69 digits) contains 55555 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31321138032101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15660566016050 + 15660566016051.

It is an arithmetic number, because the mean of its divisors is an integer number (15660566016051).

Almost surely, 2^{31321132032101} is an apocalyptic number.

It is an amenable number.

31321132032101 is a deficient number, since it is larger than the sum of its proper divisors (1).

31321132032101 is an equidigital number, since it uses as much as digits as its factorization.

31321132032101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 31321132032101 its reverse (10123023112313), we get a palindrome (41444155144414).

The spelling of 31321132032101 in words is "thirty-one trillion, three hundred twenty-one billion, one hundred thirty-two million, thirty-two thousand, one hundred one".