31123012314101 has 2 divisors, whose sum is σ = 31123012314102. Its totient is φ = 31123012314100.

The previous prime is 31123012314077. The next prime is 31123012314109. The reversal of 31123012314101 is 10141321032113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28701456175876 + 2421556138225 = 5357374^2 + 1556135^2 .

It is a cyclic number.

It is not a de Polignac number, because 31123012314101 - 2³⁸ = 30848134407157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31123012314109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15561506157050 + 15561506157051.

It is an arithmetic number, because the mean of its divisors is an integer number (15561506157051).

Almost surely, 2^{31123012314101} is an apocalyptic number.

It is an amenable number.

31123012314101 is a deficient number, since it is larger than the sum of its proper divisors (1).

31123012314101 is an equidigital number, since it uses as much as digits as its factorization.

31123012314101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 31123012314101 its reverse (10141321032113), we get a palindrome (41264333346214).

The spelling of 31123012314101 in words is "thirty-one trillion, one hundred twenty-three billion, twelve million, three hundred fourteen thousand, one hundred one".