13031738102670 has 192 divisors, whose sum is σ = 37634636067840. Its totient is φ = 2877326178048.

The previous prime is 13031738102623. The next prime is 13031738102671. The reversal of 13031738102670 is 7620183713031.

It is a super-2 number, since 2×13031738102670² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13031738102671) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 6698347 + ... + 8422073.

It is an arithmetic number, because the mean of its divisors is an integer number (196013729520).

Almost surely, 2^{13031738102670} is an apocalyptic number.

13031738102670 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 13031738102670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18817318033920).

13031738102670 is an abundant number, since it is smaller than the sum of its proper divisors (24602897965170).

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

13031738102670 is a wasteful number, since it uses less digits than its factorization.

13031738102670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723927 (or 1723920 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 13031738102670 in words is "thirteen trillion, thirty-one billion, seven hundred thirty-eight million, one hundred two thousand, six hundred seventy".