1013008109760 has 280 divisors, whose sum is σ = 3719691271296. Its totient is φ = 261421240320.

The previous prime is 1013008109731. The next prime is 1013008109767. The reversal of 1013008109760 is 679018003101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1013008109767) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 173164 + ... + 1433876.

Almost surely, 2^{1013008109760} is an apocalyptic number.

1013008109760 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 1013008109760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859845635648).

1013008109760 is an abundant number, since it is smaller than the sum of its proper divisors (2706683161536).

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

1013008109760 is a wasteful number, since it uses less digits than its factorization.

1013008109760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260773 (or 1260754 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 1013008109760 in words is "one trillion, thirteen billion, eight million, one hundred nine thousand, seven hundred sixty".