731000001001001 has 4 divisors (see below), whose sum is σ = 731145589534404. Its totient is φ = 730854412467600.

The previous prime is 731000001000947. The next prime is 731000001001069. The reversal of 731000001001001 is 100100100000137.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 571092848207401 + 159907152793600 = 23897549^2 + 12645440^2 .

It is a cyclic number.

It is not a de Polignac number, because 731000001001001 - 2⁴⁶ = 660631256823337 is a prime.

It is a super-2 number, since 2×731000001001001² (a number of 31 digits) contains 22 as substring.

It is a Duffinian number.

731000001001001 is a modest number, since divided by 1001001 gives 731000 as remainder.

It is not an unprimeable number, because it can be changed into a prime (731000001001091) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72794259170 + ... + 72794269211.

It is an arithmetic number, because the mean of its divisors is an integer number (182786397383601).

Almost surely, 2^{731000001001001} is an apocalyptic number.

It is an amenable number.

731000001001001 is a deficient number, since it is larger than the sum of its proper divisors (145588533403).

731000001001001 is a wasteful number, since it uses less digits than its factorization.

731000001001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145588533402.

The product of its (nonzero) digits is 21, while the sum is 14.

Adding to 731000001001001 its reverse (100100100000137), we get a palindrome (831100101001138).

The spelling of 731000001001001 in words is "seven hundred thirty-one trillion, one million, one thousand, one".