31001012129 has 2 divisors, whose sum is σ = 31001012130. Its totient is φ = 31001012128.

The previous prime is 31001012059. The next prime is 31001012149. The reversal of 31001012129 is 92121010013.

It is an a-pointer prime, because the next prime (31001012149) can be obtained adding 31001012129 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25502493025 + 5498519104 = 159695^2 + 74152^2 .

It is a cyclic number.

It is not a de Polignac number, because 31001012129 - 2¹⁶ = 31000946593 is a prime.

It is a super-2 number, since 2×31001012129² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31001012129.

It is not a weakly prime, because it can be changed into another prime (31001012149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15500506064 + 15500506065.

It is an arithmetic number, because the mean of its divisors is an integer number (15500506065).

Almost surely, 2^31001012129 is an apocalyptic number.

It is an amenable number.

31001012129 is a deficient number, since it is larger than the sum of its proper divisors (1).

31001012129 is an equidigital number, since it uses as much as digits as its factorization.

31001012129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 20.

The spelling of 31001012129 in words is "thirty-one billion, one million, twelve thousand, one hundred twenty-nine".