10031022331129 has 2 divisors, whose sum is σ = 10031022331130. Its totient is φ = 10031022331128.

The previous prime is 10031022331103. The next prime is 10031022331147. The reversal of 10031022331129 is 92113322013001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6835322658025 + 3195699673104 = 2614445^2 + 1787652^2 .

It is a cyclic number.

It is not a de Polignac number, because 10031022331129 - 2¹⁷ = 10031022200057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10031022331097 and 10031022331106.

It is not a weakly prime, because it can be changed into another prime (10031022337129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5015511165564 + 5015511165565.

It is an arithmetic number, because the mean of its divisors is an integer number (5015511165565).

Almost surely, 2^{10031022331129} is an apocalyptic number.

It is an amenable number.

10031022331129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10031022331129 is an equidigital number, since it uses as much as digits as its factorization.

10031022331129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 28.

The spelling of 10031022331129 in words is "ten trillion, thirty-one billion, twenty-two million, three hundred thirty-one thousand, one hundred twenty-nine".