1013310012000 has 768 divisors, whose sum is σ = 3955358324736. Its totient is φ = 223534080000.

The previous prime is 1013310011953. The next prime is 1013310012047. The reversal of 1013310012000 is 2100133101.

It is an interprime number because it is at equal distance from previous prime (1013310011953) and next prime (1013310012047).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 121831842 + ... + 121840158.

It is an arithmetic number, because the mean of its divisors is an integer number (5150206152).

Almost surely, 2^{1013310012000} is an apocalyptic number.

1013310012000 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 1013310012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1977679162368).

1013310012000 is an abundant number, since it is smaller than the sum of its proper divisors (2942048312736).

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

1013310012000 is a wasteful number, since it uses less digits than its factorization.

1013310012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8440 (or 8422 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1013310012000 its reverse (2100133101), we get a palindrome (1015410145101).

The spelling of 1013310012000 in words is "one trillion, thirteen billion, three hundred ten million, twelve thousand".