1013013133132 has 96 divisors (see below), whose sum is σ = 2381310812160. Its totient is φ = 364154469120.

The previous prime is 1013013133079. The next prime is 1013013133133. The reversal of 1013013133132 is 2313313103101.

It is a super-2 number, since 2×1013013133132² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1013013133133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8908458 + ... + 9021454.

It is an arithmetic number, because the mean of its divisors is an integer number (24805320960).

Almost surely, 2^{1013013133132} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013013133132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190655406080).

1013013133132 is an abundant number, since it is smaller than the sum of its proper divisors (1368297679028).

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

1013013133132 is a wasteful number, since it uses less digits than its factorization.

1013013133132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115271 (or 115269 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 1013013133132 its reverse (2313313103101), we get a palindrome (3326326236233).

The spelling of 1013013133132 in words is "one trillion, thirteen billion, thirteen million, one hundred thirty-three thousand, one hundred thirty-two".