1330123956100 has 27 divisors (see below), whose sum is σ = 2886394011781. Its totient is φ = 532044969200.

The previous prime is 1330123956097. The next prime is 1330123956157. The reversal of 1330123956100 is 16593210331.

It is a happy number.

The square root of 1330123956100 is 1153310.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 478844624196 + 851279331904 = 691986^2 + 922648^2 .

It is a super-2 number, since 2×1330123956100² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11475435 + ... + 11590765.

Almost surely, 2^{1330123956100} is an apocalyptic number.

1330123956100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1330123956100 is the 1153310-th square number.

It is an amenable number.

1330123956100 is an abundant number, since it is smaller than the sum of its proper divisors (1556270055681).

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

1330123956100 is an frugal number, since it uses more digits than its factorization.

1330123956100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230676 (or 115338 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 34.

The spelling of 1330123956100 in words is "one trillion, three hundred thirty billion, one hundred twenty-three million, nine hundred fifty-six thousand, one hundred".