1312553121 has 32 divisors (see below), whose sum is σ = 2003512320. Its totient is φ = 756571200.

The previous prime is 1312553107. The next prime is 1312553129. The reversal of 1312553121 is 1213552131.

It is not a de Polignac number, because 1312553121 - 2⁷ = 1312552993 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1312553091 and 1312553100.

It is not an unprimeable number, because it can be changed into a prime (1312553129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131031 + ... + 140691.

It is an arithmetic number, because the mean of its divisors is an integer number (62609760).

Almost surely, 2^1312553121 is an apocalyptic number.

1312553121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1312553121 is a deficient number, since it is larger than the sum of its proper divisors (690959199).

1312553121 is a wasteful number, since it uses less digits than its factorization.

1312553121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9877.

The product of its digits is 900, while the sum is 24.

The square root of 1312553121 is about 36229.1749975072. The cubic root of 1312553121 is about 1094.8945558480.

The spelling of 1312553121 in words is "one billion, three hundred twelve million, five hundred fifty-three thousand, one hundred twenty-one".