214031203031000 has 192 divisors, whose sum is σ = 509739428484000. Its totient is φ = 84116187475200.

The previous prime is 214031203030991. The next prime is 214031203031057. The reversal of 214031203031000 is 130302130412.

214031203031000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×214031203031000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6888883466 + ... + 6888914534.

Almost surely, 2^{214031203031000} is an apocalyptic number.

214031203031000 is a gapful number since it is divisible by the number (20) 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 214031203031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254869714242000).

214031203031000 is an abundant number, since it is smaller than the sum of its proper divisors (295708225453000).

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

214031203031000 is a wasteful number, since it uses less digits than its factorization.

214031203031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33187 (or 33114 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 214031203031000 its reverse (130302130412), we get a palindrome (214161505161412).

The spelling of 214031203031000 in words is "two hundred fourteen trillion, thirty-one billion, two hundred three million, thirty-one thousand".