1001351231100 has 216 divisors, whose sum is σ = 3428922566160. Its totient is φ = 242403840000.

The previous prime is 1001351231071. The next prime is 1001351231129. The reversal of 1001351231100 is 11321531001.

1001351231100 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 351 + 2 + 311 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1001351231071) and next prime (1001351231129).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6867756 + ... + 7012044.

It is an arithmetic number, because the mean of its divisors is an integer number (15874641510).

Almost surely, 2^{1001351231100} is an apocalyptic number.

1001351231100 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 1001351231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714461283080).

1001351231100 is an abundant number, since it is smaller than the sum of its proper divisors (2427571335060).

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

1001351231100 is a wasteful number, since it uses less digits than its factorization.

1001351231100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145021 (or 145011 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 1001351231100 its reverse (11321531001), we get a palindrome (1012672762101).

The spelling of 1001351231100 in words is "one trillion, one billion, three hundred fifty-one million, two hundred thirty-one thousand, one hundred".