131101120343400 has 384 divisors, whose sum is σ = 419120547901440. Its totient is φ = 33880654080000.

The previous prime is 131101120343399. The next prime is 131101120343407. The reversal of 131101120343400 is 4343021101131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (131101120343407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2527419465 + ... + 2527471335.

It is an arithmetic number, because the mean of its divisors is an integer number (1091459760160).

Almost surely, 2^{131101120343400} is an apocalyptic number.

131101120343400 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 131101120343400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209560273950720).

131101120343400 is an abundant number, since it is smaller than the sum of its proper divisors (288019427558040).

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

131101120343400 is a wasteful number, since it uses less digits than its factorization.

131101120343400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52697 (or 52688 counting only the distinct ones).

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

Adding to 131101120343400 its reverse (4343021101131), we get a palindrome (135444141444531).

The spelling of 131101120343400 in words is "one hundred thirty-one trillion, one hundred one billion, one hundred twenty million, three hundred forty-three thousand, four hundred".