101431331414 has 32 divisors (see below), whose sum is σ = 175017507840. Its totient is φ = 43187046048.

The previous prime is 101431331411. The next prime is 101431331461. The reversal of 101431331414 is 414133134101.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101431331411) 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, 4756544 + ... + 4777820.

It is an arithmetic number, because the mean of its divisors is an integer number (5469297120).

Almost surely, 2^101431331414 is an apocalyptic number.

101431331414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

101431331414 is a deficient number, since it is larger than the sum of its proper divisors (73586176426).

101431331414 is a wasteful number, since it uses less digits than its factorization.

101431331414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23492.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 101431331414 its reverse (414133134101), we get a palindrome (515564465515).

The spelling of 101431331414 in words is "one hundred one billion, four hundred thirty-one million, three hundred thirty-one thousand, four hundred fourteen".