101331000030414 has 64 divisors (see below), whose sum is σ = 252680165056512. Its totient is φ = 26318630008800.

The previous prime is 101331000030391. The next prime is 101331000030437. The reversal of 101331000030414 is 414030000133101.

It is an interprime number because it is at equal distance from previous prime (101331000030391) and next prime (101331000030437).

It is a super-2 number, since 2×101331000030414² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6366159 + ... + 15594549.

It is an arithmetic number, because the mean of its divisors is an integer number (3948127579008).

Almost surely, 2^{101331000030414} is an apocalyptic number.

101331000030414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

101331000030414 is an abundant number, since it is smaller than the sum of its proper divisors (151349165026098).

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

101331000030414 is a wasteful number, since it uses less digits than its factorization.

101331000030414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9252181.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 101331000030414 its reverse (414030000133101), we get a palindrome (515361000163515).

The spelling of 101331000030414 in words is "one hundred one trillion, three hundred thirty-one billion, thirty thousand, four hundred fourteen".