10013274127032 has 128 divisors (see below), whose sum is σ = 27562757587200. Its totient is φ = 3006129024000.

The previous prime is 10013274127027. The next prime is 10013274127033. The reversal of 10013274127032 is 23072147231001.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 10013274126984 and 10013274127002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013274127033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335426907 + ... + 335456757.

It is an arithmetic number, because the mean of its divisors is an integer number (215334043650).

Almost surely, 2^{10013274127032} is an apocalyptic number.

10013274127032 is a gapful number since it is divisible by the number (12) 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 10013274127032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13781378793600).

10013274127032 is an abundant number, since it is smaller than the sum of its proper divisors (17549483460168).

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

10013274127032 is a wasteful number, since it uses less digits than its factorization.

10013274127032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41637 (or 41633 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The spelling of 10013274127032 in words is "ten trillion, thirteen billion, two hundred seventy-four million, one hundred twenty-seven thousand, thirty-two".