1275023313000 has 192 divisors, whose sum is σ = 4338123678720. Its totient is φ = 337754160000.

The previous prime is 1275023312963. The next prime is 1275023313077. The reversal of 1275023313000 is 3133205721.

1275023313000 is a `hidden beast` number, since 1 + 27 + 5 + 0 + 2 + 331 + 300 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 889897 + ... + 1828103.

It is an arithmetic number, because the mean of its divisors is an integer number (22594394160).

Almost surely, 2^{1275023313000} is an apocalyptic number.

1275023313000 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 1275023313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2169061839360).

1275023313000 is an abundant number, since it is smaller than the sum of its proper divisors (3063100365720).

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

1275023313000 is a wasteful number, since it uses less digits than its factorization.

1275023313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938385 (or 938368 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

Adding to 1275023313000 its reverse (3133205721), we get a palindrome (1278156518721).

The spelling of 1275023313000 in words is "one trillion, two hundred seventy-five billion, twenty-three million, three hundred thirteen thousand".