1013120312100 has 288 divisors, whose sum is σ = 3193239952896. Its totient is φ = 246509568000.

The previous prime is 1013120312089. The next prime is 1013120312153. The reversal of 1013120312100 is 12130213101.

It is a happy number.

1013120312100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1013120312100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 562531200 + ... + 562533000.

Almost surely, 2^{1013120312100} is an apocalyptic number.

1013120312100 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 1013120312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596619976448).

1013120312100 is an abundant number, since it is smaller than the sum of its proper divisors (2180119640796).

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

1013120312100 is a wasteful number, since it uses less digits than its factorization.

1013120312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3415 (or 3408 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1013120312100 its reverse (12130213101), we get a palindrome (1025250525201).

The spelling of 1013120312100 in words is "one trillion, thirteen billion, one hundred twenty million, three hundred twelve thousand, one hundred".