1013012121132 has 144 divisors (see below), whose sum is σ = 2960219808000. Its totient is φ = 288864766080.

The previous prime is 1013012121031. The next prime is 1013012121133. The reversal of 1013012121132 is 2311212103101.

1013012121132 is a `hidden beast` number, since 101 + 301 + 21 + 211 + 32 = 666.

It is a super-2 number, since 2×1013012121132² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1013012121133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 669273 + ... + 1572879.

It is an arithmetic number, because the mean of its divisors is an integer number (20557082000).

Almost surely, 2^{1013012121132} is an apocalyptic number.

1013012121132 is a gapful number since it is divisible by the number (12) 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 1013012121132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480109904000).

1013012121132 is an abundant number, since it is smaller than the sum of its proper divisors (1947207686868).

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

1013012121132 is a wasteful number, since it uses less digits than its factorization.

1013012121132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903796 (or 903791 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1013012121132 its reverse (2311212103101), we get a palindrome (3324224224233).

The spelling of 1013012121132 in words is "one trillion, thirteen billion, twelve million, one hundred twenty-one thousand, one hundred thirty-two".