213031714271040 has 3136 divisors, whose sum is σ = 926120340288000. Its totient is φ = 45621631254528.

The previous prime is 213031714271017. The next prime is 213031714271063. The reversal of 213031714271040 is 40172417130312.

213031714271040 is a `hidden beast` number, since 2 + 1 + 30 + 31 + 71 + 427 + 104 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (213031714271017) and next prime (213031714271063).

It is a super-2 number, since 2×213031714271040² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 213031714270986 and 213031714271004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 474458160736 + ... + 474458161184.

Almost surely, 2^{213031714271040} is an apocalyptic number.

213031714271040 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 213031714271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463060170144000).

213031714271040 is an abundant number, since it is smaller than the sum of its proper divisors (713088626016960).

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

213031714271040 is a wasteful number, since it uses less digits than its factorization.

213031714271040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 213031714271040 in words is "two hundred thirteen trillion, thirty-one billion, seven hundred fourteen million, two hundred seventy-one thousand, forty".