1013148900 has 81 divisors (see below), whose sum is σ = 3178654843. Its totient is φ = 269918400.

The previous prime is 1013148887. The next prime is 1013148923. The reversal of 1013148900 is 98413101.

The square root of 1013148900 is 31830.

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

It can be written as a sum of positive squares in 4 ways, for example, as 381924 + 1012766976 = 618^2 + 31824^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 954370 + ... + 955430.

Almost surely, 2^1013148900 is an apocalyptic number.

1013148900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1013148900 is the 31830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013148900

1013148900 is an abundant number, since it is smaller than the sum of its proper divisors (2165505943).

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

1013148900 is a wasteful number, since it uses less digits than its factorization.

1013148900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The cubic root of 1013148900 is about 1004.3638953824.

The spelling of 1013148900 in words is "one billion, thirteen million, one hundred forty-eight thousand, nine hundred".