1013140404032 has 56 divisors (see below), whose sum is σ = 2099012710272. Its totient is φ = 484279488000.

The previous prime is 1013140404019. The next prime is 1013140404037. The reversal of 1013140404032 is 2304040413101.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 1013140403989 and 1013140404007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013140404037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2507282 + ... + 2883182.

Almost surely, 2^{1013140404032} 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 1013140404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049506355136).

1013140404032 is an abundant number, since it is smaller than the sum of its proper divisors (1085872306240).

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

1013140404032 is a wasteful number, since it uses less digits than its factorization.

1013140404032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377767 (or 377757 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 1013140404032 its reverse (2304040413101), we get a palindrome (3317180817133).

The spelling of 1013140404032 in words is "one trillion, thirteen billion, one hundred forty million, four hundred four thousand, thirty-two".