131010402143040 has 448 divisors, whose sum is σ = 485222202040320. Its totient is φ = 29329038213120.

The previous prime is 131010402143039. The next prime is 131010402143041. The reversal of 131010402143040 is 40341204010131.

It is an interprime number because it is at equal distance from previous prime (131010402143039) and next prime (131010402143041).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131010402143040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131010402143041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106836424 + ... + 108055736.

Almost surely, 2^{131010402143040} is an apocalyptic number.

131010402143040 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 131010402143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242611101020160).

131010402143040 is an abundant number, since it is smaller than the sum of its proper divisors (354211799897280).

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

131010402143040 is a wasteful number, since it uses less digits than its factorization.

131010402143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219670 (or 1219660 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131010402143040 its reverse (40341204010131), we get a palindrome (171351606153171).

The spelling of 131010402143040 in words is "one hundred thirty-one trillion, ten billion, four hundred two million, one hundred forty-three thousand, forty".