1314331133100 has 72 divisors (see below), whose sum is σ = 3856358677248. Its totient is φ = 345551841600.

The previous prime is 1314331133083. The next prime is 1314331133117. The reversal of 1314331133100 is 13311334131.

It is an interprime number because it is at equal distance from previous prime (1314331133083) and next prime (1314331133117).

It is a super-2 number, since 2×1314331133100² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30831544 + ... + 30874143.

It is an arithmetic number, because the mean of its divisors is an integer number (53560537184).

Almost surely, 2^{1314331133100} is an apocalyptic number.

1314331133100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314331133100 is an abundant number, since it is smaller than the sum of its proper divisors (2542027544148).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1314331133100 is a wasteful number, since it uses less digits than its factorization.

1314331133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61705775 (or 61705768 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 1314331133100 its reverse (13311334131), we get a palindrome (1327642467231).

It can be divided in two parts, 13143311 and 33100, that added together give a triangular number (13176411 = T₅₁₃₃).

The spelling of 1314331133100 in words is "one trillion, three hundred fourteen billion, three hundred thirty-one million, one hundred thirty-three thousand, one hundred".