1301113072 has 120 divisors (see below), whose sum is σ = 3072459600. Its totient is φ = 531514368.

The previous prime is 1301113001. The next prime is 1301113081. The reversal of 1301113072 is 2703111031.

It is a super-2 number, since 2×1301113072² = 3385790452258554368, which contains 22 as substring.

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, 2023183 + ... + 2023825.

It is an arithmetic number, because the mean of its divisors is an integer number (25603830).

Almost surely, 2^1301113072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1301113072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536229800).

1301113072 is an abundant number, since it is smaller than the sum of its proper divisors (1771346528).

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

1301113072 is a wasteful number, since it uses less digits than its factorization.

1301113072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 1301113072 is about 36070.9449834628. The cubic root of 1301113072 is about 1091.7042810910.

The spelling of 1301113072 in words is "one billion, three hundred one million, one hundred thirteen thousand, seventy-two".