131219493750 has 480 divisors, whose sum is σ = 396098398080. Its totient is φ = 32348160000.

The previous prime is 131219493731. The next prime is 131219493751. The reversal of 131219493750 is 57394912131.

131219493750 is a `hidden beast` number, since 131 + 21 + 9 + 493 + 7 + 5 + 0 = 666.

131219493750 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 131219493696 and 131219493705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131219493751) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 679893654 + ... + 679893846.

It is an arithmetic number, because the mean of its divisors is an integer number (825204996).

Almost surely, 2^131219493750 is an apocalyptic number.

131219493750 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 131219493750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198049199040).

131219493750 is an abundant number, since it is smaller than the sum of its proper divisors (264878904330).

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

131219493750 is an equidigital number, since it uses as much as digits as its factorization.

131219493750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 131219493750 in words is "one hundred thirty-one billion, two hundred nineteen million, four hundred ninety-three thousand, seven hundred fifty".