10001310321010 has 32 divisors (see below), whose sum is σ = 18629837267760. Its totient is φ = 3861183793152.

The previous prime is 10001310321001. The next prime is 10001310321019. The reversal of 10001310321010 is 1012301310001.

It is an interprime number because it is at equal distance from previous prime (10001310321001) and next prime (10001310321019).

It can be written as a sum of positive squares in 8 ways, for example, as 859957620921 + 9141352700089 = 927339^2 + 3023467^2 .

It is a super-2 number, since 2×10001310321010² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10001310321019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5404119 + ... + 7014778.

Almost surely, 2^{10001310321010} is an apocalyptic number.

10001310321010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10001310321010 is a deficient number, since it is larger than the sum of its proper divisors (8628526946750).

10001310321010 is a wasteful number, since it uses less digits than its factorization.

10001310321010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12421710.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10001310321010 its reverse (1012301310001), we get a palindrome (11013611631011).

The spelling of 10001310321010 in words is "ten trillion, one billion, three hundred ten million, three hundred twenty-one thousand, ten".