1001321451135 has 24 divisors (see below), whose sum is σ = 1735688582160. Its totient is φ = 534018189312.

The previous prime is 1001321451131. The next prime is 1001321451139. The reversal of 1001321451135 is 5311541231001.

1001321451135 is a `hidden beast` number, since 1 + 0 + 0 + 132 + 14 + 511 + 3 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (1001321451131) and next prime (1001321451139).

It is not a de Polignac number, because 1001321451135 - 2² = 1001321451131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001321451099 and 1001321451108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001321451131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 847167 + ... + 1649343.

It is an arithmetic number, because the mean of its divisors is an integer number (72320357590).

Almost surely, 2^{1001321451135} is an apocalyptic number.

1001321451135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1001321451135 is a deficient number, since it is larger than the sum of its proper divisors (734367131025).

1001321451135 is a wasteful number, since it uses less digits than its factorization.

1001321451135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829927 (or 829924 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 1001321451135 its reverse (5311541231001), we get a palindrome (6312862682136).

The spelling of 1001321451135 in words is "one trillion, one billion, three hundred twenty-one million, four hundred fifty-one thousand, one hundred thirty-five".