1313031121100 has 72 divisors (see below), whose sum is σ = 2862269334288. Its totient is φ = 522818867200.

The previous prime is 1313031121069. The next prime is 1313031121139. The reversal of 1313031121100 is 11211303131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167453180 + ... + 167461020.

It is an arithmetic number, because the mean of its divisors is an integer number (39753740754).

Almost surely, 2^{1313031121100} is an apocalyptic number.

1313031121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313031121100 is an abundant number, since it is smaller than the sum of its proper divisors (1549238213188).

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

1313031121100 is a wasteful number, since it uses less digits than its factorization.

1313031121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15275 (or 15268 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 1313031121100 its reverse (11211303131), we get a palindrome (1324242424231).

The spelling of 1313031121100 in words is "one trillion, three hundred thirteen billion, thirty-one million, one hundred twenty-one thousand, one hundred".