1313510121 has 96 divisors (see below), whose sum is σ = 2528064000. Its totient is φ = 666156960.

The previous prime is 1313510119. The next prime is 1313510123. The reversal of 1313510121 is 1210153131.

1313510121 is a `hidden beast` number, since 1 + 31 + 3 + 510 + 121 = 666.

It is an interprime number because it is at equal distance from previous prime (1313510119) and next prime (1313510123).

It is not a de Polignac number, because 1313510121 - 2¹ = 1313510119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1313510094 and 1313510103.

It is not an unprimeable number, because it can be changed into a prime (1313510123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 624730 + ... + 626828.

It is an arithmetic number, because the mean of its divisors is an integer number (26334000).

Almost surely, 2^1313510121 is an apocalyptic number.

1313510121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1313510121 is a deficient number, since it is larger than the sum of its proper divisors (1214553879).

1313510121 is a wasteful number, since it uses less digits than its factorization.

1313510121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 1313510121 is about 36242.3801784596. The cubic root of 1313510121 is about 1095.1605919466.

Adding to 1313510121 its reverse (1210153131), we get a palindrome (2523663252).

The spelling of 1313510121 in words is "one billion, three hundred thirteen million, five hundred ten thousand, one hundred twenty-one".