131281261823040 has 672 divisors, whose sum is σ = 489632368748544. Its totient is φ = 29712926638080.

The previous prime is 131281261823029. The next prime is 131281261823051. The reversal of 131281261823040 is 40328162182131.

It is an interprime number because it is at equal distance from previous prime (131281261823029) and next prime (131281261823051).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 131281261822983 and 131281261823001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5777958880 + ... + 5777981600.

It is an arithmetic number, because the mean of its divisors is an integer number (728619596352).

Almost surely, 2^{131281261823040} is an apocalyptic number.

131281261823040 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 131281261823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244816184374272).

131281261823040 is an abundant number, since it is smaller than the sum of its proper divisors (358351106925504).

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

131281261823040 is a wasteful number, since it uses less digits than its factorization.

131281261823040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23955 (or 23938 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 131281261823040 in words is "one hundred thirty-one trillion, two hundred eighty-one billion, two hundred sixty-one million, eight hundred twenty-three thousand, forty".