1310221312000 has 224 divisors, whose sum is σ = 3412352945664. Its totient is φ = 501293056000.

The previous prime is 1310221311991. The next prime is 1310221312009. The reversal of 1310221312000 is 2131220131.

It is an interprime number because it is at equal distance from previous prime (1310221311991) and next prime (1310221312009).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1310221312009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23524185 + ... + 23579815.

Almost surely, 2^{1310221312000} is an apocalyptic number.

1310221312000 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 1310221312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706176472832).

1310221312000 is an abundant number, since it is smaller than the sum of its proper divisors (2102131633664).

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

1310221312000 is an frugal number, since it uses more digits than its factorization.

1310221312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55695 (or 55661 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1310221312000 its reverse (2131220131), we get a palindrome (1312352532131).

The spelling of 1310221312000 in words is "one trillion, three hundred ten billion, two hundred twenty-one million, three hundred twelve thousand".