13121113131000 has 960 divisors, whose sum is σ = 53502913601280. Its totient is φ = 2990733580800.

The previous prime is 13121113130981. The next prime is 13121113131031. The reversal of 13121113131000 is 13131112131.

13121113131000 is a `hidden beast` number, since 1 + 312 + 1 + 11 + 31 + 310 + 0 + 0 = 666.

It is a super-2 number, since 2×13121113131000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1480432569 + ... + 1480441431.

It is an arithmetic number, because the mean of its divisors is an integer number (55732201668).

Almost surely, 2^{13121113131000} is an apocalyptic number.

13121113131000 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 13121113131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26751456800640).

13121113131000 is an abundant number, since it is smaller than the sum of its proper divisors (40381800470280).

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

13121113131000 is a wasteful number, since it uses less digits than its factorization.

13121113131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9283 (or 9253 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 13121113131000 its reverse (13131112131), we get a palindrome (13134244243131).

It can be divided in two parts, 131211131 and 31000, that added together give a palindrome (131242131).

The spelling of 13121113131000 in words is "thirteen trillion, one hundred twenty-one billion, one hundred thirteen million, one hundred thirty-one thousand".