13121399987040 has 192 divisors, whose sum is σ = 41445669081600. Its totient is φ = 3489457065984.

The previous prime is 13121399987039. The next prime is 13121399987041. The reversal of 13121399987040 is 4078999312131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13121399987039) and next prime (13121399987041).

It is a super-2 number, since 2×13121399987040² (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 (13121399987041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 856536501 + ... + 856551819.

It is an arithmetic number, because the mean of its divisors is an integer number (215862859800).

Almost surely, 2^{13121399987040} is an apocalyptic number.

13121399987040 is a gapful number since it is divisible by the number (10) 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 13121399987040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20722834540800).

13121399987040 is an abundant number, since it is smaller than the sum of its proper divisors (28324269094560).

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

13121399987040 is a wasteful number, since it uses less digits than its factorization.

13121399987040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20109 (or 20101 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 57.

The spelling of 13121399987040 in words is "thirteen trillion, one hundred twenty-one billion, three hundred ninety-nine million, nine hundred eighty-seven thousand, forty".