1337013216 has 648 divisors, whose sum is σ = 5215424760. Its totient is φ = 335301120.

The previous prime is 1337013211. The next prime is 1337013247. The reversal of 1337013216 is 6123107331.

1337013216 is a `hidden beast` number, since 1 + 337 + 0 + 1 + 321 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1337013216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1337013211) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 46103890 + ... + 46103918.

It is an arithmetic number, because the mean of its divisors is an integer number (8048495).

Almost surely, 2^1337013216 is an apocalyptic number.

1337013216 is a gapful number since it is divisible by the number (16) 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 1337013216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607712380).

1337013216 is an abundant number, since it is smaller than the sum of its proper divisors (3878411544).

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

1337013216 is a wasteful number, since it uses less digits than its factorization.

1337013216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 1337013216 is about 36565.1913163325. The cubic root of 1337013216 is about 1101.6540449370.

The spelling of 1337013216 in words is "one billion, three hundred thirty-seven million, thirteen thousand, two hundred sixteen".