1013032101102 has 128 divisors (see below), whose sum is σ = 2385293598720. Its totient is φ = 280850613120.

The previous prime is 1013032101061. The next prime is 1013032101113. The reversal of 1013032101102 is 2011012303101.

It is a happy number.

It is a super-3 number, since 3×1013032101102³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 398987349 + ... + 398989887.

It is an arithmetic number, because the mean of its divisors is an integer number (18635106240).

Almost surely, 2^{1013032101102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013032101102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192646799360).

1013032101102 is an abundant number, since it is smaller than the sum of its proper divisors (1372261497618).

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

1013032101102 is a wasteful number, since it uses less digits than its factorization.

1013032101102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4686.

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

Adding to 1013032101102 its reverse (2011012303101), we get a palindrome (3024044404203).

The spelling of 1013032101102 in words is "one trillion, thirteen billion, thirty-two million, one hundred one thousand, one hundred two".