1013023114400 has 144 divisors (see below), whose sum is σ = 2698596528768. Its totient is φ = 368272128000.

The previous prime is 1013023114387. The next prime is 1013023114463. The reversal of 1013023114400 is 44113203101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37571324 + ... + 37598276.

It is an arithmetic number, because the mean of its divisors is an integer number (18740253672).

Almost surely, 2^{1013023114400} is an apocalyptic number.

1013023114400 is a gapful number since it is divisible by the number (10) 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 1013023114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349298264384).

1013023114400 is an abundant number, since it is smaller than the sum of its proper divisors (1685573414368).

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

1013023114400 is a wasteful number, since it uses less digits than its factorization.

1013023114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31255 (or 31242 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1013023114400 its reverse (44113203101), we get a palindrome (1057136317501).

The spelling of 1013023114400 in words is "one trillion, thirteen billion, twenty-three million, one hundred fourteen thousand, four hundred".