31429971000 has 512 divisors, whose sum is σ = 115644672000. Its totient is φ = 7874496000.

The previous prime is 31429970983. The next prime is 31429971011. The reversal of 31429971000 is 17992413.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 101060845 + ... + 101061155.

It is an arithmetic number, because the mean of its divisors is an integer number (225868500).

Almost surely, 2^31429971000 is an apocalyptic number.

31429971000 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 31429971000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57822336000).

31429971000 is an abundant number, since it is smaller than the sum of its proper divisors (84214701000).

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

31429971000 is a wasteful number, since it uses less digits than its factorization.

31429971000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 31429971000 in words is "thirty-one billion, four hundred twenty-nine million, nine hundred seventy-one thousand".