1013916900 has 72 divisors (see below), whose sum is σ = 2996058240. Its totient is φ = 264621440.

The previous prime is 1013916877. The next prime is 1013916901. The reversal of 1013916900 is 96193101.

It is a super-2 number, since 2×1013916900² = 2056054960211220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1013916901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21855 + ... + 50054.

It is an arithmetic number, because the mean of its divisors is an integer number (41611920).

Almost surely, 2^1013916900 is an apocalyptic number.

1013916900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013916900 is an abundant number, since it is smaller than the sum of its proper divisors (1982141340).

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

1013916900 is a wasteful number, since it uses less digits than its factorization.

1013916900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71973 (or 71966 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 30.

The square root of 1013916900 is about 31842.0618051030. The cubic root of 1013916900 is about 1004.6176115112.

The spelling of 1013916900 in words is "one billion, thirteen million, nine hundred sixteen thousand, nine hundred".