1036213315632 has 120 divisors (see below), whose sum is σ = 3330095520960. Its totient is φ = 297477498240.

The previous prime is 1036213315609. The next prime is 1036213315637. The reversal of 1036213315632 is 2365133126301.

1036213315632 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 2 + 1 + 3 + 3 + 15 + 632 = 666.

It is a super-3 number, since 3×1036213315632³ (a number of 37 digits) contains 333 as substring.

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 (1036213315637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17185038 + ... + 17245229.

It is an arithmetic number, because the mean of its divisors is an integer number (27750796008).

Almost surely, 2^{1036213315632} is an apocalyptic number.

1036213315632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1036213315632 is an abundant number, since it is smaller than the sum of its proper divisors (2293882205328).

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

1036213315632 is a wasteful number, since it uses less digits than its factorization.

1036213315632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34430311 (or 34430302 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 1036213315632 in words is "one trillion, thirty-six billion, two hundred thirteen million, three hundred fifteen thousand, six hundred thirty-two".