13118958120450 has 384 divisors, whose sum is σ = 42436210908672. Its totient is φ = 2602822533120.

The previous prime is 13118958120449. The next prime is 13118958120451. The reversal of 13118958120450 is 5402185981131.

It is an interprime number because it is at equal distance from previous prime (13118958120449) and next prime (13118958120451).

It is a super-2 number, since 2×13118958120450² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13118958120450.

It is not an unprimeable number, because it can be changed into a prime (13118958120451) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 267529134 + ... + 267578166.

It is an arithmetic number, because the mean of its divisors is an integer number (110510965908).

Almost surely, 2^{13118958120450} is an apocalyptic number.

13118958120450 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 13118958120450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21218105454336).

13118958120450 is an abundant number, since it is smaller than the sum of its proper divisors (29317252788222).

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

13118958120450 is a wasteful number, since it uses less digits than its factorization.

13118958120450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50238 (or 50233 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 48.

The spelling of 13118958120450 in words is "thirteen trillion, one hundred eighteen billion, nine hundred fifty-eight million, one hundred twenty thousand, four hundred fifty".