1313567101 has 32 divisors (see below), whose sum is σ = 1738368000. Its totient is φ = 960940800.

The previous prime is 1313567083. The next prime is 1313567111. The reversal of 1313567101 is 1017653131.

It is a cyclic number.

It is not a de Polignac number, because 1313567101 - 2⁵ = 1313567069 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1313567101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313567111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 652186 + ... + 654196.

It is an arithmetic number, because the mean of its divisors is an integer number (54324000).

Almost surely, 2^1313567101 is an apocalyptic number.

1313567101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1313567101 is a deficient number, since it is larger than the sum of its proper divisors (424800899).

1313567101 is a wasteful number, since it uses less digits than its factorization.

1313567101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545.

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 1313567101 is about 36243.1662662080. The cubic root of 1313567101 is about 1095.1764277206.

The spelling of 1313567101 in words is "one billion, three hundred thirteen million, five hundred sixty-seven thousand, one hundred one".