1023131213129 has 2 divisors, whose sum is σ = 1023131213130. Its totient is φ = 1023131213128.

The previous prime is 1023131213089. The next prime is 1023131213131. The reversal of 1023131213129 is 9213121313201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 515976439225 + 507154773904 = 718315^2 + 712148^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1023131213129 is a prime.

Together with 1023131213131, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1023131218129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511565606564 + 511565606565.

It is an arithmetic number, because the mean of its divisors is an integer number (511565606565).

Almost surely, 2^{1023131213129} is an apocalyptic number.

It is an amenable number.

1023131213129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023131213129 is an equidigital number, since it uses as much as digits as its factorization.

1023131213129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 29.

The spelling of 1023131213129 in words is "one trillion, twenty-three billion, one hundred thirty-one million, two hundred thirteen thousand, one hundred twenty-nine".