13133122110 has 192 divisors, whose sum is σ = 36796032000. Its totient is φ = 3367827072.

The previous prime is 13133122103. The next prime is 13133122117. The reversal of 13133122110 is 1122133131.

It is an interprime number because it is at equal distance from previous prime (13133122103) and next prime (13133122117).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13133122117) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6737416 + ... + 6739364.

It is an arithmetic number, because the mean of its divisors is an integer number (191646000).

Almost surely, 2^13133122110 is an apocalyptic number.

13133122110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13133122110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18398016000).

13133122110 is an abundant number, since it is smaller than the sum of its proper divisors (23662909890).

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

13133122110 is a wasteful number, since it uses less digits than its factorization.

13133122110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2077 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13133122110 its reverse (1122133131), we get a palindrome (14255255241).

The spelling of 13133122110 in words is "thirteen billion, one hundred thirty-three million, one hundred twenty-two thousand, one hundred ten".