1013104014000 has 320 divisors, whose sum is σ = 3603301123968. Its totient is φ = 243296256000.

The previous prime is 1013104013993. The next prime is 1013104014023. The reversal of 1013104014000 is 4104013101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3039604 + ... + 3356396.

Almost surely, 2^{1013104014000} is an apocalyptic number.

1013104014000 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 1013104014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801650561984).

1013104014000 is an abundant number, since it is smaller than the sum of its proper divisors (2590197109968).

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

1013104014000 is a wasteful number, since it uses less digits than its factorization.

1013104014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316873 (or 316857 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1013104014000 its reverse (4104013101), we get a palindrome (1017208027101).

The spelling of 1013104014000 in words is "one trillion, thirteen billion, one hundred four million, fourteen thousand".