1001312301132 has 576 divisors, whose sum is σ = 3327568957440. Its totient is φ = 248732467200.

The previous prime is 1001312301043. The next prime is 1001312301137. The reversal of 1001312301132 is 2311032131001.

1001312301132 is a `hidden beast` number, since 100 + 131 + 2 + 301 + 132 = 666.

It is a super-2 number, since 2×1001312301132² (a number of 25 digits) contains 22 as substring.

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 (1001312301137) 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, 467246853 + ... + 467248995.

It is an arithmetic number, because the mean of its divisors is an integer number (5777029440).

Almost surely, 2^{1001312301132} is an apocalyptic number.

1001312301132 is a gapful number since it is divisible by the number (12) 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 1001312301132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663784478720).

1001312301132 is an abundant number, since it is smaller than the sum of its proper divisors (2326256656308).

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

1001312301132 is a wasteful number, since it uses less digits than its factorization.

1001312301132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 2489 counting only the distinct ones).

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

Adding to 1001312301132 its reverse (2311032131001), we get a palindrome (3312344432133).

The spelling of 1001312301132 in words is "one trillion, one billion, three hundred twelve million, three hundred one thousand, one hundred thirty-two".