1314513135 has 96 divisors (see below), whose sum is σ = 2581383168. Its totient is φ = 613958400.

The previous prime is 1314513127. The next prime is 1314513143. The reversal of 1314513135 is 5313154131.

It is a happy number.

1314513135 is a `hidden beast` number, since 1 + 3 + 14 + 513 + 135 = 666.

It is an interprime number because it is at equal distance from previous prime (1314513127) and next prime (1314513143).

It is not a de Polignac number, because 1314513135 - 2³ = 1314513127 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1314513099 and 1314513108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2031382 + ... + 2032028.

It is an arithmetic number, because the mean of its divisors is an integer number (26889408).

Almost surely, 2^1314513135 is an apocalyptic number.

1314513135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1314513135 is a deficient number, since it is larger than the sum of its proper divisors (1266870033).

1314513135 is a wasteful number, since it uses less digits than its factorization.

1314513135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 842 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 1314513135 is about 36256.2151223759. The cubic root of 1314513135 is about 1095.4392808091.

Adding to 1314513135 its reverse (5313154131), we get a palindrome (6627667266).

The spelling of 1314513135 in words is "one billion, three hundred fourteen million, five hundred thirteen thousand, one hundred thirty-five".