1013131008 has 216 divisors, whose sum is σ = 3085009200. Its totient is φ = 319291392.

The previous prime is 1013130971. The next prime is 1013131073. The reversal of 1013131008 is 8001313101.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3942016 + ... + 3942272.

It is an arithmetic number, because the mean of its divisors is an integer number (14282450).

Almost surely, 2^1013131008 is an apocalyptic number.

1013131008 is a gapful number since it is divisible by the number (18) 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 1013131008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542504600).

1013131008 is an abundant number, since it is smaller than the sum of its proper divisors (2071878192).

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

1013131008 is a wasteful number, since it uses less digits than its factorization.

1013131008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1013131008 is about 31829.7189431512. The cubic root of 1013131008 is about 1004.3579830613.

Adding to 1013131008 its reverse (8001313101), we get a palindrome (9014444109).

The spelling of 1013131008 in words is "one billion, thirteen million, one hundred thirty-one thousand, eight".