13120410131010 has 384 divisors, whose sum is σ = 42568367063040. Its totient is φ = 2730052366848.

The previous prime is 13120410130937. The next prime is 13120410131069. The reversal of 13120410131010 is 1013101402131.

It is a happy number.

13120410131010 is a `hidden beast` number, since 1 + 3 + 120 + 410 + 131 + 0 + 1 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 195388021 + ... + 195455159.

It is an arithmetic number, because the mean of its divisors is an integer number (110855122560).

Almost surely, 2^{13120410131010} is an apocalyptic number.

13120410131010 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 13120410131010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21284183531520).

13120410131010 is an abundant number, since it is smaller than the sum of its proper divisors (29447956932030).

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

13120410131010 is a wasteful number, since it uses less digits than its factorization.

13120410131010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67502 (or 67499 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 13120410131010 its reverse (1013101402131), we get a palindrome (14133511533141).

The spelling of 13120410131010 in words is "thirteen trillion, one hundred twenty billion, four hundred ten million, one hundred thirty-one thousand, ten".