1349291328100 has 27 divisors (see below), whose sum is σ = 2927987388697. Its totient is φ = 539711884880.

The previous prime is 1349291328059. The next prime is 1349291328131. The reversal of 1349291328100 is 18231929431.

The square root of 1349291328100 is 1161590.

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., 485744878116 + 863546449984 = 696954^2 + 929272^2 .

It is a super-2 number, since 2×1349291328100² (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, 11557821 + ... + 11673979.

Almost surely, 2^{1349291328100} is an apocalyptic number.

1349291328100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1349291328100 is the 1161590-th square number.

It is an amenable number.

1349291328100 is an abundant number, since it is smaller than the sum of its proper divisors (1578696060597).

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

1349291328100 is an frugal number, since it uses more digits than its factorization.

1349291328100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232332 (or 116166 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The spelling of 1349291328100 in words is "one trillion, three hundred forty-nine billion, two hundred ninety-one million, three hundred twenty-eight thousand, one hundred".