1023123401129 has 2 divisors, whose sum is σ = 1023123401130. Its totient is φ = 1023123401128.

The previous prime is 1023123401123. The next prime is 1023123401137. The reversal of 1023123401129 is 9211043213201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1012750386025 + 10373015104 = 1006355^2 + 101848^2 .

It is a cyclic number.

It is not a de Polignac number, because 1023123401129 - 2²⁸ = 1022854965673 is a prime.

It is not a weakly prime, because it can be changed into another prime (1023123401123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511561700564 + 511561700565.

It is an arithmetic number, because the mean of its divisors is an integer number (511561700565).

Almost surely, 2^{1023123401129} is an apocalyptic number.

It is an amenable number.

1023123401129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023123401129 is an equidigital number, since it uses as much as digits as its factorization.

1023123401129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 1023123401129 in words is "one trillion, twenty-three billion, one hundred twenty-three million, four hundred one thousand, one hundred twenty-nine".