1313102121 has 32 divisors (see below), whose sum is σ = 1842559488. Its totient is φ = 830914560.

The previous prime is 1313102071. The next prime is 1313102143. The reversal of 1313102121 is 1212013131.

It is a happy number.

It is not a de Polignac number, because 1313102121 - 2¹⁵ = 1313069353 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1313102121.

It is not an unprimeable number, because it can be changed into a prime (1313102221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1138281 + ... + 1139433.

It is an arithmetic number, because the mean of its divisors is an integer number (57579984).

Almost surely, 2^1313102121 is an apocalyptic number.

It is an amenable number.

1313102121 is a deficient number, since it is larger than the sum of its proper divisors (529457367).

1313102121 is a wasteful number, since it uses less digits than its factorization.

1313102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1313102121 is about 36236.7509719070. The cubic root of 1313102121 is about 1095.0471879750.

Adding to 1313102121 its reverse (1212013131), we get a palindrome (2525115252).

The spelling of 1313102121 in words is "one billion, three hundred thirteen million, one hundred two thousand, one hundred twenty-one".