32013034413000 has 128 divisors (see below), whose sum is σ = 99891585555840. Its totient is φ = 8535876000000.

The previous prime is 32013034412977. The next prime is 32013034413089. The reversal of 32013034413000 is 31443031023.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27084375 + ... + 28241625.

It is an arithmetic number, because the mean of its divisors is an integer number (780403012155).

Almost surely, 2^{32013034413000} is an apocalyptic number.

32013034413000 is a gapful number since it is divisible by the number (30) 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 32013034413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49945792777920).

32013034413000 is an abundant number, since it is smaller than the sum of its proper divisors (67878551142840).

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

32013034413000 is a wasteful number, since it uses less digits than its factorization.

32013034413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166496 (or 1166482 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 32013034413000 its reverse (31443031023), we get a palindrome (32044477444023).

The spelling of 32013034413000 in words is "thirty-two trillion, thirteen billion, thirty-four million, four hundred thirteen thousand".