131211210002334 has 384 divisors, whose sum is σ = 346897318215168. Its totient is φ = 32689438064640.

The previous prime is 131211210002311. The next prime is 131211210002381. The reversal of 131211210002334 is 433200012112131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2982932289 + ... + 2982976275.

It is an arithmetic number, because the mean of its divisors is an integer number (903378432852).

Almost surely, 2^{131211210002334} is an apocalyptic number.

131211210002334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131211210002334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173448659107584).

131211210002334 is an abundant number, since it is smaller than the sum of its proper divisors (215686108212834).

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

131211210002334 is a wasteful number, since it uses less digits than its factorization.

131211210002334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44408 (or 44401 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 131211210002334 its reverse (433200012112131), we get a palindrome (564411222114465).

The spelling of 131211210002334 in words is "one hundred thirty-one trillion, two hundred eleven billion, two hundred ten million, two thousand, three hundred thirty-four".