1100013312090 has 128 divisors (see below), whose sum is σ = 3397645025280. Its totient is φ = 221200819200.

The previous prime is 1100013312019. The next prime is 1100013312091. The reversal of 1100013312090 is 902133100011.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1100013312091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7608975 + ... + 7752194.

It is an arithmetic number, because the mean of its divisors is an integer number (26544101760).

Almost surely, 2^{1100013312090} is an apocalyptic number.

1100013312090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1100013312090 is an abundant number, since it is smaller than the sum of its proper divisors (2297631713190).

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

1100013312090 is a wasteful number, since it uses less digits than its factorization.

1100013312090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15361228.

The product of its (nonzero) digits is 162, while the sum is 21.

The spelling of 1100013312090 in words is "one trillion, one hundred billion, thirteen million, three hundred twelve thousand, ninety".