1313132121 has 64 divisors (see below), whose sum is σ = 2260008960. Its totient is φ = 738097920.

The previous prime is 1313132087. The next prime is 1313132147. The reversal of 1313132121 is 1212313131.

It is not a de Polignac number, because 1313132121 - 2⁶ = 1313132057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1313132094 and 1313132103.

It is not an unprimeable number, because it can be changed into a prime (1313132621) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5448561 + ... + 5448801.

It is an arithmetic number, because the mean of its divisors is an integer number (35312640).

Almost surely, 2^1313132121 is an apocalyptic number.

It is an amenable number.

1313132121 is a deficient number, since it is larger than the sum of its proper divisors (946876839).

1313132121 is a wasteful number, since it uses less digits than its factorization.

1313132121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 605 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 1313132121 is about 36237.1649139388. The cubic root of 1313132121 is about 1095.0555273024.

Adding to 1313132121 its reverse (1212313131), we get a palindrome (2525445252).

The spelling of 1313132121 in words is "one billion, three hundred thirteen million, one hundred thirty-two thousand, one hundred twenty-one".