131211234023100 has 576 divisors, whose sum is σ = 480008757473280. Its totient is φ = 26879398041600.

The previous prime is 131211234023017. The next prime is 131211234023101. The reversal of 131211234023100 is 1320432112131.

It is a super-2 number, since 2×131211234023100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131211234023101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4146595879 + ... + 4146627521.

It is an arithmetic number, because the mean of its divisors is an integer number (833348537280).

Almost surely, 2^{131211234023100} is an apocalyptic number.

131211234023100 is a gapful number since it is divisible by the number (10) 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 131211234023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240004378736640).

131211234023100 is an abundant number, since it is smaller than the sum of its proper divisors (348797523450180).

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

131211234023100 is a wasteful number, since it uses less digits than its factorization.

131211234023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34210 (or 34203 counting only the distinct ones).

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

Adding to 131211234023100 its reverse (1320432112131), we get a palindrome (132531666135231).

The spelling of 131211234023100 in words is "one hundred thirty-one trillion, two hundred eleven billion, two hundred thirty-four million, twenty-three thousand, one hundred".