13101591690 has 288 divisors, whose sum is σ = 39349110528. Its totient is φ = 2998022400.

The previous prime is 13101591661. The next prime is 13101591719. The reversal of 13101591690 is 9619510131.

It is a happy number.

13101591690 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 1 + 591 + 69 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13101591661) and next prime (13101591719).

It is a super-2 number, since 2×13101591690² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44715184 + ... + 44715476.

It is an arithmetic number, because the mean of its divisors is an integer number (136628856).

Almost surely, 2^13101591690 is an apocalyptic number.

13101591690 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 13101591690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19674555264).

13101591690 is an abundant number, since it is smaller than the sum of its proper divisors (26247518838).

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

13101591690 is a wasteful number, since it uses less digits than its factorization.

13101591690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 36.

The spelling of 13101591690 in words is "thirteen billion, one hundred one million, five hundred ninety-one thousand, six hundred ninety".