31431402123000 has 512 divisors, whose sum is σ = 111667562772480. Its totient is φ = 7286146560000.

The previous prime is 31431402122987. The next prime is 31431402123031. The reversal of 31431402123000 is 32120413413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4157039220 + ... + 4157046780.

It is an arithmetic number, because the mean of its divisors is an integer number (218100708540).

Almost surely, 2^{31431402123000} is an apocalyptic number.

31431402123000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31431402123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55833781386240).

31431402123000 is an abundant number, since it is smaller than the sum of its proper divisors (80236160649480).

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

31431402123000 is a wasteful number, since it uses less digits than its factorization.

31431402123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13096 (or 13082 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 31431402123000 its reverse (32120413413), we get a palindrome (31463522536413).

The spelling of 31431402123000 in words is "thirty-one trillion, four hundred thirty-one billion, four hundred two million, one hundred twenty-three thousand".