1013512140 has 144 divisors (see below), whose sum is σ = 3259925760. Its totient is φ = 254430720.

The previous prime is 1013512099. The next prime is 1013512189. The reversal of 1013512140 is 412153101.

1013512140 is a `hidden beast` number, since 1 + 0 + 13 + 512 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204006 + ... + 208914.

Almost surely, 2^1013512140 is an apocalyptic number.

1013512140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013512140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629962880).

1013512140 is an abundant number, since it is smaller than the sum of its proper divisors (2246413620).

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

1013512140 is a wasteful number, since it uses less digits than its factorization.

1013512140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4992 (or 4987 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1013512140 is about 31835.7054264547. The cubic root of 1013512140 is about 1004.4839111570.

Adding to 1013512140 its reverse (412153101), we get a palindrome (1425665241).

The spelling of 1013512140 in words is "one billion, thirteen million, five hundred twelve thousand, one hundred forty".