1345152513100 has 36 divisors (see below), whose sum is σ = 3184342860888. Its totient is φ = 489146368000.

The previous prime is 1345152513097. The next prime is 1345152513101. The reversal of 1345152513100 is 13152515431.

It is a super-2 number, since 2×1345152513100² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1345152513101) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 611431861 + ... + 611434060.

It is an arithmetic number, because the mean of its divisors is an integer number (88453968358).

Almost surely, 2^{1345152513100} is an apocalyptic number.

1345152513100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1345152513100 is an abundant number, since it is smaller than the sum of its proper divisors (1839190347788).

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

1345152513100 is a wasteful number, since it uses less digits than its factorization.

1345152513100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222865946 (or 1222865939 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 31.

The spelling of 1345152513100 in words is "one trillion, three hundred forty-five billion, one hundred fifty-two million, five hundred thirteen thousand, one hundred".