10613112012 has 72 divisors (see below), whose sum is σ = 27796728960. Its totient is φ = 3410760960.

The previous prime is 10613112001. The next prime is 10613112061. The reversal of 10613112012 is 21021131601.

10613112012 is a `hidden beast` number, since 10 + 613 + 11 + 20 + 12 = 666.

It is a super-2 number, since 2×10613112012² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282528 + ... + 317880.

It is an arithmetic number, because the mean of its divisors is an integer number (386065680).

Almost surely, 2^10613112012 is an apocalyptic number.

10613112012 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 10613112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13898364480).

10613112012 is an abundant number, since it is smaller than the sum of its proper divisors (17183616948).

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

10613112012 is a wasteful number, since it uses less digits than its factorization.

10613112012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35663 (or 35658 counting only the distinct ones).

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

Adding to 10613112012 its reverse (21021131601), we get a palindrome (31634243613).

The spelling of 10613112012 in words is "ten billion, six hundred thirteen million, one hundred twelve thousand, twelve".