31001042129 has 2 divisors, whose sum is σ = 31001042130. Its totient is φ = 31001042128.

The previous prime is 31001042117. The next prime is 31001042153. The reversal of 31001042129 is 92124010013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20634747904 + 10366294225 = 143648^2 + 101815^2 .

It is a cyclic number.

It is not a de Polignac number, because 31001042129 - 2²⁸ = 30732606673 is a prime.

It is a super-2 number, since 2×31001042129² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (31001042159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15500521064 + 15500521065.

It is an arithmetic number, because the mean of its divisors is an integer number (15500521065).

Almost surely, 2^31001042129 is an apocalyptic number.

It is an amenable number.

31001042129 is a deficient number, since it is larger than the sum of its proper divisors (1).

31001042129 is an equidigital number, since it uses as much as digits as its factorization.

31001042129 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.

The spelling of 31001042129 in words is "thirty-one billion, one million, forty-two thousand, one hundred twenty-nine".