13111011033312 has 384 divisors, whose sum is σ = 37075910022144. Its totient is φ = 4042429267968.

The previous prime is 13111011033311. The next prime is 13111011033403. The reversal of 13111011033312 is 21333011011131.

It is a super-2 number, since 2×13111011033312² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13111011033311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10062172053 + ... + 10062173355.

It is an arithmetic number, because the mean of its divisors is an integer number (96551849016).

Almost surely, 2^{13111011033312} is an apocalyptic number.

13111011033312 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 13111011033312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18537955011072).

13111011033312 is an abundant number, since it is smaller than the sum of its proper divisors (23964898988832).

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

13111011033312 is a wasteful number, since it uses less digits than its factorization.

13111011033312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 13111011033312 its reverse (21333011011131), we get a palindrome (34444022044443).

The spelling of 13111011033312 in words is "thirteen trillion, one hundred eleven billion, eleven million, thirty-three thousand, three hundred twelve".