1313724118950 has 384 divisors, whose sum is σ = 3870033552000. Its totient is φ = 326549422080.

The previous prime is 1313724118937. The next prime is 1313724118951. The reversal of 1313724118950 is 598114273131.

1313724118950 is a `hidden beast` number, since 1 + 313 + 7 + 241 + 1 + 8 + 95 + 0 = 666.

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 = 1313724118896 and 1313724118905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313724118951) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1252358026 + ... + 1252359074.

It is an arithmetic number, because the mean of its divisors is an integer number (10078212375).

Almost surely, 2^{1313724118950} is an apocalyptic number.

1313724118950 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 1313724118950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935016776000).

1313724118950 is an abundant number, since it is smaller than the sum of its proper divisors (2556309433050).

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

1313724118950 is a wasteful number, since it uses less digits than its factorization.

1313724118950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 1313724118950 in words is "one trillion, three hundred thirteen billion, seven hundred twenty-four million, one hundred eighteen thousand, nine hundred fifty".