131044251002340 has 192 divisors, whose sum is σ = 402718668307200. Its totient is φ = 31639444801536.

The previous prime is 131044251002321. The next prime is 131044251002359. The reversal of 131044251002340 is 43200152440131.

It is an interprime number because it is at equal distance from previous prime (131044251002321) and next prime (131044251002359).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 131044251002298 and 131044251002307.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145854406 + ... + 146750114.

It is an arithmetic number, because the mean of its divisors is an integer number (2097493064100).

Almost surely, 2^{131044251002340} is an apocalyptic number.

131044251002340 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 131044251002340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201359334153600).

131044251002340 is an abundant number, since it is smaller than the sum of its proper divisors (271674417304860).

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

131044251002340 is a wasteful number, since it uses less digits than its factorization.

131044251002340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899326 (or 899324 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 131044251002340 in words is "one hundred thirty-one trillion, forty-four billion, two hundred fifty-one million, two thousand, three hundred forty".