1013331020100 has 216 divisors, whose sum is σ = 3421564630848. Its totient is φ = 230872723200.

The previous prime is 1013331020099. The next prime is 1013331020131. The reversal of 1013331020100 is 10201333101.

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 1013331020100.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4460874 + ... + 4682526.

Almost surely, 2^{1013331020100} is an apocalyptic number.

1013331020100 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 1013331020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710782315424).

1013331020100 is an abundant number, since it is smaller than the sum of its proper divisors (2408233610748).

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

1013331020100 is a wasteful number, since it uses less digits than its factorization.

1013331020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221995 (or 221981 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1013331020100 its reverse (10201333101), we get a palindrome (1023532353201).

The spelling of 1013331020100 in words is "one trillion, thirteen billion, three hundred thirty-one million, twenty thousand, one hundred".