1001132103312 has 120 divisors (see below), whose sum is σ = 3056844885120. Its totient is φ = 303337808640.

The previous prime is 1001132103311. The next prime is 1001132103313. The reversal of 1001132103312 is 2133012311001.

1001132103312 is a `hidden beast` number, since 1 + 0 + 0 + 11 + 321 + 0 + 331 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1001132103311) and next prime (1001132103313).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1001132103311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15552858 + ... + 15617094.

It is an arithmetic number, because the mean of its divisors is an integer number (25473707376).

Almost surely, 2^{1001132103312} is an apocalyptic number.

1001132103312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001132103312 is an abundant number, since it is smaller than the sum of its proper divisors (2055712781808).

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

1001132103312 is a wasteful number, since it uses less digits than its factorization.

1001132103312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74101 (or 74092 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1001132103312 its reverse (2133012311001), we get a palindrome (3134144414313).

The spelling of 1001132103312 in words is "one trillion, one billion, one hundred thirty-two million, one hundred three thousand, three hundred twelve".