1310005331890 has 64 divisors (see below), whose sum is σ = 2550235995648. Its totient is φ = 482609920000.

The previous prime is 1310005331807. The next prime is 1310005331891. The reversal of 1310005331890 is 981335000131.

It is a super-2 number, since 2×1310005331890² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (1310005331891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100755390 + ... + 100768390.

It is an arithmetic number, because the mean of its divisors is an integer number (39847437432).

Almost surely, 2^{1310005331890} is an apocalyptic number.

1310005331890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1310005331890 is a deficient number, since it is larger than the sum of its proper divisors (1240230663758).

1310005331890 is a wasteful number, since it uses less digits than its factorization.

1310005331890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25683.

The product of its (nonzero) digits is 9720, while the sum is 34.

The spelling of 1310005331890 in words is "one trillion, three hundred ten billion, five million, three hundred thirty-one thousand, eight hundred ninety".